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Finding the Fourth Proportional to 32,714.40, 49,071.60 and 22,216.80

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Solution

The fourth proportional to 32,714.40, 49,071.60 and 22,216.80 is: 33,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714.40 : 49,071.60 = 22,216.80 : x
  2. Step 2: Convert to fraction form
    32,714.40/49,071.60 = 22,216.80/x
  3. Step 3: Cross multiply
    32,714.40x = 49,071.60 × 22,216.80
  4. Step 4: Simplify right side
    32,714.40x = 1,090,213,922.88
  5. Step 5: Solve for x
    x = 1,090,213,922.88/32,714.40
  6. Step 6: Final answer
    x = 33,325.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.